Question

find the measure of the missing angles.
answer
attempt 2 out of 3
d = □° e = □° f = □°

Explanation:

Step1: Find the measure of \(d\)

From the figure, \(d\) is a right angle.
\(d = 90^{\circ}\)

Step2: Find the measure of \(f\)

\(f\) and the \(47^{\circ}\) angle are vertical angles. Vertical angles are equal.
\(f=47^{\circ}\)

Step3: Find the measure of \(e\)

\(e\) and \(f\) are supplementary angles (they form a linear pair). So \(e + f=180^{\circ}\). Since \(f = 47^{\circ}\), then \(e=180^{\circ}-47^{\circ}\)
\(e = 133^{\circ}\)

Answer:

\(d = 90^{\circ}\), \(e = 133^{\circ}\), \(f = 47^{\circ}\)